Bridge/Ladder Circuit and Node Voltage Method

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Discussion Overview

The discussion revolves around the application of the Node Voltage Method to a bridge/ladder circuit, with participants exploring the validity of their calculations and the reliability of using Ohm's Law as a verification tool. The context is primarily homework-related, focusing on circuit analysis techniques.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about applying the Node Voltage Method to a bridge/ladder circuit, questioning whether their approach is correct due to a lack of examples from their professor.
  • Another participant suggests checking the results using Ohm's Law, providing specific equations for currents toward a node and questioning if the results being zero confirms correctness.
  • A further reply raises doubt about the reliability of the zero-sum check, asking if it is possible to have incorrect values that still satisfy Ohm's Law.
  • Another participant recommends using Kirchhoff's Laws as a complementary verification method, suggesting that if KCL is used for the solution, KVL should be used for verification.
  • One participant challenges the notion that a zero sum guarantees correctness, requesting an example of an incorrect result that would still pass the Ohm's Law test.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the reliability of using Ohm's Law as a verification method, with some expressing skepticism about its sufficiency for confirming correctness in circuit analysis.

Contextual Notes

Participants highlight the potential for errors in their equations and the need for careful verification methods, indicating that assumptions about circuit behavior may not be fully resolved.

Marcin H
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Homework Statement


Screen Shot 2016-09-04 at 3.24.28 PM.png


Homework Equations


Node Voltage Method
V=IR

The Attempt at a Solution


So I have never worked with a bridge/ladder circuit before and I am not sure if I am doing it correctly. My professor never gave us an example of a bridge/ladder so I'm kinda winging it. Anyway can I apply node voltage method to this circuit just like any other? I tried doing that, but I got some weird answers, so I don't know if it is correct. Did I make some small mistake in my equations? Or are my equations completely wrong?

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Marcin H said:
I tried doing that, but I got some weird answers, so I don't know if it is correct. Did I make some small mistake in my equations? Or are my equations completely wrong?
Just check the result by means of Ohm's law:

Currents toward V1 =

( 2V - 28/19 V ) / 2kΩ
- 28/19 V / 8kΩ
- 6/19 V / 4 kΩ = ( must be zero )

Same check with V2
 
Hesch said:
Just check the result by means of Ohm's law:

Currents toward V1 =

( 2V - 28/19 V ) / 2kΩ
- 28/19 V / 8kΩ
- 6/19 V / 4 kΩ = ( must be zero )

Same check with V2
It works with Ohms law, but does that mean that it's correct? It feels like this way of checking will always give you the right answer? So just because they add up to 0 doesn't make them the correct values is what I am getting at. Or is this not right?
 
A good tactic I use is to check with the Kirchoff's law that you didn't use for the solution. If you use KCL to solve it, use KVL to check it.
 
Marcin H said:
So just because they add up to 0 doesn't make them the correct values is what I am getting at. Or is this not right?
Show me an incorrect result that will be accepted as correct by means of the "Ohm's law test".

Your circuit is not a bistable or "multistable" circuit.
 
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